Mumbai University > FE > Sem 1 > Basic Electrical and Electronics Engineering

Marks: 3 M

Year: Dec 2013

A circuit containing reactance is said to be resonance if the voltage across the circuit is in phase with the current through it. At resonance the circuit thus behaves as a pure resistor and et reactance is zero.

$\bar{Z}$ $=R+jX_L-jX_C \\ =R+jω_L-j \dfrac{1}{ω_C} \\ =R+j(ω_L-\dfrac{1}{ω_C} )$

At resonance,

$ω_L-\dfrac{1}{ω_C} =0 \\ ω=ω_0=\dfrac{1}{\sqrt{LC}} \\ f=f_0=\dfrac{1}{2π\sqrt{LC}}$

Where $f_0$= resonant frequency